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Finding the Fourth Proportional to 12,208.39, 16,847.91 and 6,904

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Solution

The fourth proportional to 12,208.39, 16,847.91 and 6,904 is: 9,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.39 : 16,847.91 = 6,904 : x
  2. Step 2: Convert to fraction form
    12,208.39/16,847.91 = 6,904/x
  3. Step 3: Cross multiply
    12,208.39x = 16,847.91 × 6,904
  4. Step 4: Simplify right side
    12,208.39x = 116,317,970.64
  5. Step 5: Solve for x
    x = 116,317,970.64/12,208.39
  6. Step 6: Final answer
    x = 9,527.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.